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Finding the Fourth Proportional to 252,133.14, 347,943.03 and 138,955.86

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Solution

The fourth proportional to 252,133.14, 347,943.03 and 138,955.86 is: 191,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,133.14 : 347,943.03 = 138,955.86 : x
  2. Step 2: Convert to fraction form
    252,133.14/347,943.03 = 138,955.86/x
  3. Step 3: Cross multiply
    252,133.14x = 347,943.03 × 138,955.86
  4. Step 4: Simplify right side
    252,133.14x = 48,348,722,964.66
  5. Step 5: Solve for x
    x = 48,348,722,964.66/252,133.14
  6. Step 6: Final answer
    x = 191,758.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.